360/400 Simplified

What is 360/400 Simplified?

Answer: Fraction 360/400 simplified to lowest terms is 9/10
360
/
400
=
9
/
10

9/10 is the simplified fraction of 360/400.

Simplifying Fraction 360/400 using GCF

The first way to simplify the fraction 360/400 is to use the Greatest Common Factor (GCF) of our numerator [360] and denominator [400].

GCF of 360 and 400 is 40

And then divide both the numerator [360] and denominator [400] by the GCF [40].

360 ÷ 40
/
400 ÷ 40
=
9
/
10

Simplifying Fraction 360/400 using Prime Factors

Another method to reduce the fraction 360/400 to its simplest form is to use the Prime Factors of numerator [360] and denominator [400].

Now we can write down a new fraction expressed by its Prime Factors and cancel common factors in numerator and denominator:

2 × 2 × 2 × 3 × 3 × 5
/
2 × 2 × 2 × 2 × 5 × 5
=
9
/
10

Simplifying Fraction 360/400 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [360] and denominator [400] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a reminder.

360 ÷ 2
/
400 ÷ 2
=
180
/
200
180 ÷ 2
/
200 ÷ 2
=
90
/
100
90 ÷ 2
/
100 ÷ 2
=
45
/
50
45 ÷ 5
/
50 ÷ 5
=
9
/
10

See Also

Fraction Simplifier Calculator

This calculator will help you to simplify any fraction to its simplest form. For example, it can help you find out what is 360/400 Simplified? (The answer is: 9/10). Enter the fraction (numerator and denominator) (e.g. '360/400') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 360/400) means reducing it to its simplest form. A fraction is considered simplified if its numerator and denominator have no common factors other than 1 (one).

Fraction Simplification Table

FractionLowest Terms
360/38572/77
360/386180/193
360/38740/43
360/38890/97
360/389360/389
360/390
360/391360/391
360/39245/49
360/393120/131
360/394180/197
360/39572/79
360/396
360/397360/397
360/398180/199
360/399120/133
360/401360/401
360/40260/67
360/403360/403
360/40490/101
360/405
360/406180/203
360/407360/407
360/408
360/409360/409
360/41036/41
360/411120/137
360/41290/103
360/413360/413
360/414

FAQ

What is 360/400 Simplified?

Fraction 360/400 simplified to lowest terms is 9/10